Nonuniversal Behavior of the k -Body Embedded Gaussian Unitary Ensemble of Random Matrices

Journal Article · Mon Jul 02 00:00:00 EDT 2001 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.87.010601· OSTI ID:40204724

Benet, L; Rupp, T; Weidenmuller, H A

Using a novel approach, we investigate the shape of the average spectrum and the spectral fluctuations of the k -body embedded unitary ensemble in the limit of a large matrix dimension. We identify the transition point between a semicircle and a Gaussian shape. The transition also affects the spectral fluctuations which deviate from the Wigner-Dyson form and become Poissonian in the limit k{much_lt}m{much_lt}l . Here m is the number of fermions and l the number of degenerate single-particle states.

• Sponsoring Organization: (US)
• OSTI ID: 40204724
• Journal Information: Physical Review Letters, Vol. 87, Issue 1; Other Information: DOI: 10.1103/PhysRevLett.87.010601; Othernumber: PRLTAO000087000001010601000001; 039127PRL; PBD: 2 Jul 2001; ISSN 0031-9007
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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FLUCTUATIONS
MATRICES
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